## Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary Element ApproachWave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

I | 1 |

II | 7 |

IV | 11 |

V | 12 |

VI | 14 |

VII | 18 |

VIII | 23 |

X | 24 |

XXX | 80 |

XXXI | 82 |

XXXII | 86 |

XXXIII | 91 |

XXXIV | 93 |

XXXVI | 98 |

XXXVII | 105 |

XXXIX | 111 |

### Other editions - View all

Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary ... Martin Schanz Limited preview - 2012 |

Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary ... Martin Schanz No preview available - 2012 |

Wave Propagation in Viscoelastic and Poroelastic Continua: A Boundary ... Martin Schanz No preview available - 2010 |

### Common terms and phrases

1-d solution A-stable amplitude analytical solution approximation arrival beam behavior Berea sandstone Beskos boundary condition boundary element formulation Boundary Element Method boundary integral equation calculated coefficients compression wave compressional wave constitutive equation convolution integral convolution quadrature method deflection deviatoric differential equations Dirac distribution discretization domain fundamental solutions drained elastic dynamic elastodynamic elastostatic frequency fundamental solutions half space hydrostatic influence integral equation integration weights interstitial fluid inverse transformation Laplace domain Laplace transformed fundamental linear load Longitudinal displacement material data matrix mesh observed parameters permeability Poisson's ratio pore pressure poroelastic poroelastic material poroelastodynamic Rayleigh wave reciprocal work theorem respectively second wave series expansion shear force shear modulus shear wave singular soil spatial step sizes stress-strain relation t/s Fig tensor test functions time-dependent fundamental solutions time-stepping tion transformed fundamental solution trapezoidal rule underlying multistep method undrained values vanishing vertical displacement viscoelastic viscous wave front wave propagation wave velocities zero

### Popular passages

Page 160 - Bezine, G. and Gamby, D. Etude des mouvements transitoires de flexion d'une plaque par la methode des equations integrales de frontieres, Journal de Mecanique Appliquee, Vol.

Page 160 - BONNET, G. (1987). Basic singular solutions for a poroelastic medium in the dynamic range.

Page 163 - Gaul. L.; Schanz. M.: Dynamics of Viscoelastic Solids Treated by Boundary Element Approaches in Time Domain.

Page 167 - Two-Dimensional Time Domain BEM for Scattering of Elastic Waves in Solids of General Anisotropy.

Page 159 - Luco, JE, On the Green's functions for a layered half-space. Part II, Bulletin of the Seismological Society of America, 73, 4, Aug.

Page 160 - Bonnet. G., and Auriault, J.-L. (1985), "Dynamics of Saturated and Deformable Porous Media: Homogenization Theory and Determination of the Solid-Liquid Coupling Coefficients", In N. Boccara and M. Daoud (Eds.), Physics of Finely Divided Matter, pp.

### References to this book

Porous Media: Theory, Experiments and Numerical Applications Wolfgang Ehlers,J. Bluhm Limited preview - 2002 |

Kontinuums- und Kontaktmechanik: Synthetische und analytische Darstellung Kai Willner No preview available - 2003 |